A Survey on the Theoretical and Numerical Trends in Nonlinear Analysis, Volume 2Gius. Laterza & Figli, 1979 - Mathematical analysis |
Contents
EXISTENCE THEOREMS FOR LIÉNARD SYSTEMS | 243 |
EXISTENCE THEOREMS FOR ELLIPTIC PROBLEMS | 253 |
EXISTENCE THEOREMS FOR HYPERBOLIC AND PARABOLIC PROBLEMS | 263 |
2 other sections not shown
Common terms and phrases
abstract adjoint arbitrary assumptions Banach space boundary value problems bounded Cesari compact consider constant continuous function COROLLARY defined denote differential equations Dirichlet problem dt dx eigenvalue equa equation Ex existence theorem fixed point index fixed point theorem follows greatest fixed point h₂ Hilbert space hyperbolic implies inequality invertible Kannan L₂ L₂(G Lazer least one GPS LEMMA Leray-Schauder degree Let us assume lim sup linear operator Math Mawhin method Moreover nonlinear problems nontrivial norm null space obtain periodic solutions priori estimate problems at resonance proof of Theorem prove resp satisfies second order selfadjoint solu solvability subset subsolution supersolution suppose Theorem 2.i tion u e H zero хххх